100201002101 has 4 divisors (see below), whose sum is σ = 103656209100. Its totient is φ = 96745795104.

The previous prime is 100201002079. The next prime is 100201002127. The reversal of 100201002101 is 101200102001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 45035206225 + 55165795876 = 212215^2 + 234874^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201002101 - 2²² = 100196807797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201002301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1727603456 + ... + 1727603513.

It is an arithmetic number, because the mean of its divisors is an integer number (25914052275).

Almost surely, 2^100201002101 is an apocalyptic number.

It is an amenable number.

100201002101 is a deficient number, since it is larger than the sum of its proper divisors (3455206999).

100201002101 is an equidigital number, since it uses as much as digits as its factorization.

100201002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455206998.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100201002101 its reverse (101200102001), we get a palindrome (201401104102).

The spelling of 100201002101 in words is "one hundred billion, two hundred one million, two thousand, one hundred one".